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2 years ago

If y varies directly with x, write an equation for the direct variation. Then find each value.

1 answer:

6 0

1)
y = kx
-12 = k(9)
k = -4/3

y = (-4/3)(-4)
y = 16/3

2)
y = kx
8 = 20k
k = 2/5

y = (2/5)(10)
y = 4

3)
y= kx
-6 = k(-14)
k = 3/7

-4 = (3/7)x
-4(7/3) = x
x = -28/3

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A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?

zzz [600]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}$

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

$\boxed{ \sf{perimeter = 2(l + w)}}$

plug the values

⇒ $\sf{64 = 2(20 + w)}$

Distribute 2 through the parentheses

⇒ $\sf{64 = 40 + 2w}$

Swap the sides of the equation

⇒ $\sf{40 + 2w = 64}$

Move 2w to right hand side and change it's sign

⇒ $\sf{2w = 64 - 40}$

Subtract 40 from 64

⇒ $\sf{2w = 24}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2w}{2} = \frac{24}{2} }$

Calculate

⇒ $\sf{w = 12 \: inches}$

Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

$\boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}$

plug the values

⇒ $\sf{area \: of \: rectangle =20 \times 12 }$

Multiply the numbers : 20 and 12

⇒ $\sf{area \: of \: rectangle = 240 \: {inches}^{2} }$

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

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3 years ago

2.5 x 10 to the third power times what number is equal to 5 x 10 to the sixth power?

Taya2010 [7]

Answer:

2 is the number because half of 5 is 2.5

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2 years ago

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You just subtract 300 from 800 to get 500 people

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3 years ago

Pls help me with this question ASAP

WINSTONCH [101]

Answer:

Step-by-step explanation:

(3+5)^2/8=(8)^2/8=64/8=8

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